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Finding the Fourth Proportional to 16,541.60, 22,826.94 and 9,467.78

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Solution

The fourth proportional to 16,541.60, 22,826.94 and 9,467.78 is: 13,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.60 : 22,826.94 = 9,467.78 : x
  2. Step 2: Convert to fraction form
    16,541.60/22,826.94 = 9,467.78/x
  3. Step 3: Cross multiply
    16,541.60x = 22,826.94 × 9,467.78
  4. Step 4: Simplify right side
    16,541.60x = 216,120,445.99
  5. Step 5: Solve for x
    x = 216,120,445.99/16,541.60
  6. Step 6: Final answer
    x = 13,065.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.